Orthogonality and Digit Shifts in the Classical Mean Squares Problem in Irregularities of Point Distribution

DOI10.1007/978-3-211-74280-8_7zbMath1233.11082OpenAlexW1101150MaRDI QIDQ3530430

William W. L. Chen, Maxim M. Skriganov

Publication date: 20 October 2008

Published in: Diophantine Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-211-74280-8_7

zbMATH Keywords

\(L_2\)-discrepancyIrregularities of distribution

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Related Items

Discrepancy bounds for infinite-dimensional order two digital sequences over \(\mathbb F_2\) ⋮ BMO and exponential Orlicz space estimates of the discrepancy function in arbitrary dimension ⋮ Davenport's theorem in geometric discrepancy theory ⋮ \(L_2\) discrepancy of generalized Zaremba point sets ⋮ Fibonacci sets and symmetrization in discrepancy theory ⋮ Discrepancy of Hammersley points in Besov spaces of dominating mixed smoothness ⋮ L_p- and S_p,q^rB-discrepancy of (order 2) digital nets ⋮ The Khinchin inequality and Chen’s theorem ⋮ Upper Bounds in Classical Discrepancy Theory ⋮ Discrepancy Theory and Quasi-Monte Carlo Integration

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